131906653632 has 448 divisors, whose sum is σ = 426692689920. Its totient is φ = 39713587200.

The previous prime is 131906653553. The next prime is 131906653661. The reversal of 131906653632 is 236356609131.

131906653632 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 0 + 6 + 6 + 5 + 3 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304634088 + ... + 304634520.

It is an arithmetic number, because the mean of its divisors is an integer number (952439040).

Almost surely, 2^131906653632 is an apocalyptic number.

131906653632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131906653632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213346344960).

131906653632 is an abundant number, since it is smaller than the sum of its proper divisors (294786036288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131906653632 is a wasteful number, since it uses less digits than its factorization.

131906653632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 131906653632 in words is "one hundred thirty-one billion, nine hundred six million, six hundred fifty-three thousand, six hundred thirty-two".